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You can do this with any smallish box and a large rubber band:
Loop the rubber band around the box three times, turning it so that the band lies flat against the box, without any twisting. It takes one clockwise roll and one counterclockwise roll of the band.
If you arrange the rubber band so that on one side of the box it makes an "XI" pattern, turn the box over to find that you have an "IX" pattern on the opposite side.
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